{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "from IPython.display import HTML\n",
    "from neuromancer.psl.coupled_systems import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Thermal RC Network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#RC Network\n",
    "adj = np.array([[0,1],[0,2],[0,3],[1,0],[1,3],[1,4],[2,0],[2,3],[3,0],[3,1],[3,2],[3,4],[4,1],[4,3]]).T\n",
    "network = RC_Network(nx=5, adj=adj)\n",
    "sim = network.simulate(nsim=10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1,2)\n",
    "fig.text(0.5, 0.03, 'Time')\n",
    "ax=ax.flatten()\n",
    "ax[0].plot(network.U[:,0])\n",
    "ax[0].set_title('Outdoor Temperature')\n",
    "ax[0].set_ylabel('Kelvin')\n",
    "ax[1].plot(network.U[:,1])\n",
    "ax[1].set_title('An Internal Heat Source');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "fig.text(0.35, 0.9, 'Room Temperatures Over Time')\n",
    "locs = [(0,0),(0,2),(1,0),(1,1),(1,3)]\n",
    "spans = [2,2,1,2,1]\n",
    "ax = [plt.subplot2grid((2,4), l, colspan=s) for l,s in zip(locs, spans)]\n",
    "[ax[i].plot(sim['X'][:,i]) for i in range(len(locs))];\n",
    "miny = np.floor(np.min(sim['X']))\n",
    "maxy = np.ceil(np.max(sim['X']))\n",
    "[a.set_ylim(miny, maxy) for a in ax]\n",
    "[a.tick_params(labelbottom=False) for a in ax]\n",
    "[ax[i].tick_params(labelleft=False) for i in [1,3,4]]\n",
    "fig.subplots_adjust(hspace=0.1,wspace=0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gravitational System"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "#adj = np.array([[0,1],[0,2],[0,3],[1,0],[2,0],[3,0]]).T #\n",
    "nsim = 10000\n",
    "network = Gravitational_System(G=6.67e-11, nx=4)\n",
    "ninit = np.array([[1000000, 0, 0, 0, 0],\n",
    "         [1, 1, 0, 0, 8.167e-3],\n",
    "         [1, 0, 2, 4.0835e-3, 0],\n",
    "         [1, -1, -1, 4e-3, -4e-3]])\n",
    "Sim = network.simulate(nsim=nsim, x0=ninit)\n",
    "sim=Sim['Y']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.set_xlim(-2.2,2.2)\n",
    "\n",
    "ax.set_xticks([])\n",
    "\n",
    "ax.set_ylim(-2.2,2.2)\n",
    "\n",
    "ax.set_yticks([])\n",
    "\n",
    "colors = ['red','blue','orange','green']\n",
    "\n",
    "ax.scatter([0], [0], c=colors[0])\n",
    "\n",
    "ax.set_title('Orbits')\n",
    "\n",
    "pts = [ax.plot(sim[:,i,1],sim[:,i,2], c=colors[i], alpha=0.5) for i in range(1,sim.shape[1])]\n",
    "\n",
    "scts = [ax.scatter(sim[-1,i,1], sim[-1,i,2], c=colors[i]) for i in range(1,sim.shape[1])]\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Boid's System"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visual_range = 0.3\n",
    "\n",
    "network = Boids(visual_range=visual_range)\n",
    "\n",
    "sim = network.simulate()\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.set_xlim(0, 10)\n",
    "\n",
    "ax.set_ylim(0, 10)\n",
    "\n",
    "pos = sim['Y']\n",
    "\n",
    "ax.plot(pos[:, :, 0], pos[:, :, 1])\n",
    "\n",
    "ax.set_title('Flight Paths')\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.4"
  },
  "vscode": {
   "interpreter": {
    "hash": "c37920f8b727ac242aaeb459cf7636dee19a555f809a1b970a094d053d47c3bc"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
